Least Common Multiple of 78/37, 272/85, 905/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/37, 272/85, 905/589 quickly i.e. 9600240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/37, 272/85, 905/589 is 9600240.

LCM(78/37, 272/85, 905/589) = 9600240

LCM of 78/37, 272/85, 905/589

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 78/37,272/85,905/589

Given numbers are 78/37,272/85,905/589

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 78,272,905

Least Common Multiple of Numerators i.e. LCM of 78,272,905 is 9600240.

GCF of Denominators means GCF of 37,85,589 as per the given fractions.

GCF of 37,85,589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,272,905

LCM of Fractions 78/37,272/85,905/589 is 9600240

2 78, 272, 905
39, 136, 905

∴ So the LCM of the given numbers is 2 x 39 x 136 x 905 = 9600240

Least Common Multiple of 78,272,905 with GCF Formula

Least Common Multiple of 78,272,905 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 78,272,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,272,905) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,272,905) x common factors =1 x 2 = 2

LCM(78,272,905) = ( 78 × 272 × 905 ) / 2

LCM(78,272,905) = 19200480 / 2

LCM(78,272,905) = 9600240


Lets's calculate GCF of 37,85,589

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9600240/1

Therefore the LCM of Fractions 78/37,272/85,905/589 is 9600240

Greatest Common Factor of 37,85,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,85,589 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 37,85,589 . The biggest common factor number is the GCF number.
So the greatest common factor 37,85,589 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 78/37, 272/85, 905/589

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 78/37, 272/85, 905/589?

Answer: LCM of Numerators as per given numbers 78/37, 272/85, 905/589 is

LCM of Numerators i.e. for 78,272,905 is 9600240

GCF of denominators i.e. for 37,85,589 is 1.

Thus, LCM of Fractions is 9600240.Finally, LCM of Fractions for 78/37, 272/85, 905/589 is 9600240.